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Finding the Fourth Proportional to 7,305.26, 10,952.15 and 3,141.86

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Solution

The fourth proportional to 7,305.26, 10,952.15 and 3,141.86 is: 4,710.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305.26 : 10,952.15 = 3,141.86 : x
  2. Step 2: Convert to fraction form
    7,305.26/10,952.15 = 3,141.86/x
  3. Step 3: Cross multiply
    7,305.26x = 10,952.15 × 3,141.86
  4. Step 4: Simplify right side
    7,305.26x = 34,410,051.53
  5. Step 5: Solve for x
    x = 34,410,051.53/7,305.26
  6. Step 6: Final answer
    x = 4,710.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.